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Full-wave simulations of electromagnetic scattering problems with billions of unknowns

Bart Michiels (UGent) , Jan Fostier (UGent) , Ignace Bogaert (UGent) and Daniël De Zutter (UGent)
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Abstract
Algorithmic improvements to the parallel, distributed-memory multilevel fast multipole algorithm (MLFMA) have resulted in implementations with favorable weak scaling properties. This allows for the simulation of increasingly larger electromagnetic problems, provided that sufficient computational resources are available. This is demonstrated by presenting the full-wave simulations of extremely large perfectly electrically conducting (PEC) sphere and Thunderbird geometries. Both problems are formulated using the combined field integral equation (CFIE) and discretized in over respectively 3 and 2.5 billion unknowns. They are solved using 4096 CPU cores and 25 TByte of memory. To the best of our knowledge, this is the largest number of unknowns and the highest amount of parallel processes reported to date, for this type of simulation. Additionally, it is demonstrated that the implementation attains a high parallel speedup and efficiency.
Keywords
MLFMA, EFFICIENT PARALLELIZATION, STRATEGY, Distributed-memory, method of moments (MoM), multilevel fast multipole algorithm (MLFMA), parallel computing, HIERARCHICAL PARALLELIZATION, FAST MULTIPOLE ALGORITHM

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Citation

Please use this url to cite or link to this publication:

MLA
Michiels, Bart, et al. “Full-Wave Simulations of Electromagnetic Scattering Problems with Billions of Unknowns.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 63, no. 2, 2015, pp. 796–99, doi:10.1109/TAP.2014.2380438.
APA
Michiels, B., Fostier, J., Bogaert, I., & De Zutter, D. (2015). Full-wave simulations of electromagnetic scattering problems with billions of unknowns. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 63(2), 796–799. https://doi.org/10.1109/TAP.2014.2380438
Chicago author-date
Michiels, Bart, Jan Fostier, Ignace Bogaert, and Daniël De Zutter. 2015. “Full-Wave Simulations of Electromagnetic Scattering Problems with Billions of Unknowns.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 63 (2): 796–99. https://doi.org/10.1109/TAP.2014.2380438.
Chicago author-date (all authors)
Michiels, Bart, Jan Fostier, Ignace Bogaert, and Daniël De Zutter. 2015. “Full-Wave Simulations of Electromagnetic Scattering Problems with Billions of Unknowns.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 63 (2): 796–799. doi:10.1109/TAP.2014.2380438.
Vancouver
1.
Michiels B, Fostier J, Bogaert I, De Zutter D. Full-wave simulations of electromagnetic scattering problems with billions of unknowns. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 2015;63(2):796–9.
IEEE
[1]
B. Michiels, J. Fostier, I. Bogaert, and D. De Zutter, “Full-wave simulations of electromagnetic scattering problems with billions of unknowns,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 63, no. 2, pp. 796–799, 2015.
@article{6939867,
  abstract     = {{Algorithmic improvements to the parallel, distributed-memory multilevel fast multipole algorithm (MLFMA) have resulted in implementations with favorable weak scaling properties. This allows for the simulation of increasingly larger electromagnetic problems, provided that sufficient computational resources are available. This is demonstrated by presenting the full-wave simulations of extremely large perfectly electrically conducting (PEC) sphere and Thunderbird geometries. Both problems are formulated using the combined field integral equation (CFIE) and discretized in over respectively 3 and 2.5 billion unknowns. They are solved using 4096 CPU cores and 25 TByte of memory. To the best of our knowledge, this is the largest number of unknowns and the highest amount of parallel processes reported to date, for this type of simulation. Additionally, it is demonstrated that the implementation attains a high parallel speedup and efficiency.}},
  author       = {{Michiels, Bart and Fostier, Jan and Bogaert, Ignace and De Zutter, Daniël}},
  issn         = {{0018-926X}},
  journal      = {{IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION}},
  keywords     = {{MLFMA,EFFICIENT PARALLELIZATION,STRATEGY,Distributed-memory,method of moments (MoM),multilevel fast multipole algorithm (MLFMA),parallel computing,HIERARCHICAL PARALLELIZATION,FAST MULTIPOLE ALGORITHM}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{796--799}},
  title        = {{Full-wave simulations of electromagnetic scattering problems with billions of unknowns}},
  url          = {{http://doi.org/10.1109/TAP.2014.2380438}},
  volume       = {{63}},
  year         = {{2015}},
}

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